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Finding the Third Proportional to 6,457,294 and 14,174,097

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Solution

The third proportional to 6,457,294 and 14,174,097 is: 31,112,881.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457,294 : 14,174,097 = 14,174,097 : x
  2. Step 2: Convert to fraction form
    6,457,294/14,174,097 = 14,174,097/x
  3. Step 3: Cross multiply
    6,457,294x = 14,174,097 × 14,174,097
  4. Step 4: Simplify right side
    6,457,294x = 200,905,025,765,409
  5. Step 5: Solve for x
    x = 200,905,025,765,409/6,457,294
  6. Step 6: Final answer
    x = 31,112,881.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.